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22001212100 = 2252759677951
BaseRepresentation
bin10100011111010111…
…111101101011000100
32002210022011101011102
4110133113331223010
5330024302241400
614035054155232
71406132134340
oct243727755304
962708141142
1022001212100
11937012431a
1243201b2b18
1320c81878ca
1410c9db8620
1588b7bc9d5
hex51f5fdac4

22001212100 has 144 divisors (see below), whose sum is σ = 56323061760. Its totient is φ = 7303824000.

The previous prime is 22001212081. The next prime is 22001212109. The reversal of 22001212100 is 121210022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22001212109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2763125 + ... + 2771075.

Almost surely, 222001212100 is an apocalyptic number.

22001212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28161530880).

22001212100 is an abundant number, since it is smaller than the sum of its proper divisors (34321849660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22001212100 is a wasteful number, since it uses less digits than its factorization.

22001212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22001212100 its reverse (121210022), we get a palindrome (22122422122).

The spelling of 22001212100 in words is "twenty-two billion, one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 67 70 100 118 134 140 175 236 268 295 335 350 413 469 590 670 700 826 938 1180 1340 1475 1652 1675 1876 2065 2345 2950 3350 3953 4130 4690 5900 6700 7906 7951 8260 9380 10325 11725 15812 15902 19765 20650 23450 27671 31804 39530 39755 41300 46900 55342 55657 79060 79510 98825 110684 111314 138355 159020 197650 198775 222628 276710 278285 395300 397550 469109 532717 553420 556570 691775 795100 938218 1065434 1113140 1383550 1391425 1876436 2130868 2345545 2663585 2767100 2782850 3283763 3729019 4691090 5327170 5565700 6567526 7458038 9382180 10654340 11727725 13135052 13317925 14916076 16418815 18645095 23455450 26635850 31430303 32837630 37290190 46910900 53271700 62860606 65675260 74580380 82094075 93225475 125721212 157151515 164188150 186450950 220012121 314303030 328376300 372901900 440024242 628606060 785757575 880048484 1100060605 1571515150 2200121210 3143030300 4400242420 5500303025 11000606050 22001212100